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Finding the Fourth Proportional to 23,677, 32,678.58 and 13,741

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Solution

The fourth proportional to 23,677, 32,678.58 and 13,741 is: 18,965.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,677 : 32,678.58 = 13,741 : x
  2. Step 2: Convert to fraction form
    23,677/32,678.58 = 13,741/x
  3. Step 3: Cross multiply
    23,677x = 32,678.58 × 13,741
  4. Step 4: Simplify right side
    23,677x = 449,036,367.78
  5. Step 5: Solve for x
    x = 449,036,367.78/23,677
  6. Step 6: Final answer
    x = 18,965.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.